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Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Maintaining Mathematical Proficiency

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Exercise 2 Page 357

Solve for (1-x) first.

x=4

Practice makes perfect

We want to solve the given equation by interpreting (1-x) as a single quantity. This means we should solve for 1-x first.

7(1-x)+2=-19

LHS-2=RHS-2

7(1-x)+2-2=-19-2

Subtract terms

7(1-x)=-21

.LHS /7.=.RHS /7.

7(1-x)/7=-21/7

Calculate quotient

1-x = -3

Once we know the value of 1-x, we can the remaining equation to solve for x.

1-x=-3

LHS+x=RHS+x

1-x+x=-3+x

Add terms

1=x-3

LHS+3=RHS+3

1+3=x-3+3

Add terms

4=x

Rearrange equation

x=4

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Exercises p.357